用于近似任意酉操作和纯态的最小光程深度多端口干涉仪
Minimum optical depth multiport interferometers for approximating arbitrary unitary operations and pure states
AI总结：
本文通过数值模拟证明，在任意维度d下，仅需三层d维傅里叶变换和三层可配置移相器即可高保真制备纯态，而d+1层傅里叶变换和d+2层移相器可实现任意酉操作，为多芯光纤集成多端口干涉仪的应用提供了理论依据。
摘要：
能够实现任意酉操作的可重构器件对于光子量子计算、光学神经网络和玻色采样至关重要。在此，我们研究使用多端口干涉仪以给定的保真度误差近似任意纯态制备和任意酉操作的问题。通过数值计算，我们表明，在任意维度 $d$ 中，使用三层 $d$ 维傅里叶变换和三层可配置移相器，可以以保真度误差 $\le 10^{-15}$ 制备纯态。我们还给出数值证据表明，$d+1$ 层 $d$ 维傅里叶变换和 $d+2$ 层可配置移相器可以以保真度误差 $\le 10^{-14}$ 实现任意酉操作。这些结论通过在 $d = 3$ 到 $d=10$ 范围内的数值模拟得到。鉴于最近多芯光纤集成多端口干涉仪的出现，这些结果具有重要意义。
英文摘要：
Reconfigurable devices which can implement arbitrary unitary operations are crucial for photonic quantum computation, optical neural networks, and boson sampling. Here, we address the problem of, using multiport interferometers, approximating with a given infidelity any pure state preparation and any unitary operation. By means of numerical calculations, we show that pure states, in any dimension $d$, can be prepared with infidelity $\le 10^{-15}$ with three layers of $d$ dimensional Fourier transforms and three layers of configurable phase shifters. We also present numerical evidence that $d+1$ layers of $d$-dimensional Fourier transforms and $d+2$ layers of configurable phase shifters can produce any unitary operation with infidelity $\le 10^{-14}$. The conclusions are achieved by numerical simulations in the range from $d = 3$ to $d=10$. These results are interesting in light of the recent availability of multicore fiber-integrated multiport interferometers.
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